A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00526-016-0973-z.pdf
Reference20 articles.
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2. Ball, J.M.: Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rat. Mech. Anal. 63(4), 337–403 (1977)
3. Ball, J.M.: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Phil. Trans. R. Soc. Lond. A 306, 557–611 (1982)
4. Ball, J.M., Murat, F.: $$W^{1, p}$$ W 1 , p -quasiconvexity and variational problems for multiple integrals. J. Funct. Anal. 58, 225–253 (1984)
5. Conti, S., Dolzmann, G., Müller, S.: Korn’s second inequality and geometric rigidity with mixed growth conditions. Calc. Var. Part. Differ. Equ. 50(1–2), 437–454 (2014)
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